U.S. patent application number 13/304725 was filed with the patent office on 2013-05-30 for turbine bucket airfoil profile.
This patent application is currently assigned to General Electric Company. The applicant listed for this patent is Srinivase Govardhan Jayana, Spencer Aaron Kareff, Paul Kendall Smith. Invention is credited to Srinivase Govardhan Jayana, Spencer Aaron Kareff, Paul Kendall Smith.
Application Number | 20130136606 13/304725 |
Document ID | / |
Family ID | 48467051 |
Filed Date | 2013-05-30 |
United States Patent
Application |
20130136606 |
Kind Code |
A1 |
Smith; Paul Kendall ; et
al. |
May 30, 2013 |
TURBINE BUCKET AIRFOIL PROFILE
Abstract
A turbine bucket is provided including a bucket airfoil having
an airfoil shape, the bucket airfoil having a nominal profile
substantially in accordance with Cartesian coordinate values of X,
Y and Z set forth in Table 1 wherein the Cartesian coordinate
values of X, Y and Z are non-dimensional values from 0% to 100%
convertible to dimensional distances in inches by multiplying the
Cartesian coordinate values of X, Y and Z by a height of the
airfoil in inches, and wherein X and Y are distances in inches
which, when connected by smooth continuing arcs, define airfoil
profile sections at each distance Z, the airfoil profile sections
at Z distances being joined smoothly with one another to form a
complete airfoil shape.
Inventors: |
Smith; Paul Kendall;
(Simpsonville, SC) ; Kareff; Spencer Aaron;
(Simpsonville, SC) ; Jayana; Srinivase Govardhan;
(Bangalore, IN) |
|
Applicant: |
Name |
City |
State |
Country |
Type |
Smith; Paul Kendall
Kareff; Spencer Aaron
Jayana; Srinivase Govardhan |
Simpsonville
Simpsonville
Bangalore |
SC
SC |
US
US
IN |
|
|
Assignee: |
General Electric Company
|
Family ID: |
48467051 |
Appl. No.: |
13/304725 |
Filed: |
November 28, 2011 |
Current U.S.
Class: |
416/223A |
Current CPC
Class: |
F05D 2250/74 20130101;
F01D 5/142 20130101 |
Class at
Publication: |
416/223.A |
International
Class: |
F01D 5/14 20060101
F01D005/14 |
Claims
1. A turbine bucket including a bucket airfoil having an airfoil
shape, the bucket airfoil having a nominal profile substantially in
accordance with Cartesian coordinate values of X, Y and Z set forth
in Table 1 wherein the Cartesian coordinate values of X, Y and Z
are non-dimensional values from 0% to 100% convertible to
dimensional distances by multiplying the Cartesian coordinate
values of X, Y and Z by a height of the bucket airfoil, and wherein
X and Y are distances which, when connected by smooth continuing
arcs, define airfoil profile sections at each distance Z, the
airfoil profile sections at Z distances being joined smoothly with
one another to form a complete airfoil shape.
2. The turbine bucket according to claim 1, forming part of a stage
of a turbine.
3. The turbine bucket according to claim 1, wherein the airfoil
shape lies in an envelope within at least one of, +/-5% and +/-5%
of a chord length in a direction normal to any airfoil surface
location.
4. The turbine bucket according to claim 1, wherein a height of the
turbine bucket is about 9 inches to about 32 inches.
5. A turbine bucket including a bucket airfoil having a
suction-side uncoated nominal airfoil profile substantially in
accordance with suction-side Cartesian coordinate values of X, Y
and Z set forth in Table 1 wherein the Cartesian coordinate values
of X, Y and Z are non-dimensional values from 0% to 100%
convertible to dimensional distances by multiplying the Cartesian
coordinate values of X, Y and Z by a height of the bucket airfoil,
and wherein X and Y are distances which, when connected by smooth
continuing arcs, define airfoil profile sections at each Z
distance, the airfoil profile sections at the Z distances being
joined smoothly with one another to form a complete suction-side
airfoil shape, the X, Y and Z distances being scalable as a
function of the same constant or number to provide a scaled-up or
scaled-down airfoil.
6. The turbine bucket according to claim 5, forming part of a stage
of a turbine.
7. The turbine bucket according to claim 5, wherein the
suction-side airfoil shape lies in an envelope within at least one
of, +/-5% and +/-5% of a chord length in a direction normal to any
airfoil surface location.
8. The turbine bucket according to claim 5, wherein a height of the
turbine bucket is about 9 inches to about 32 inches.
9. A turbine comprising a plurality of buckets, each of the buckets
including an airfoil having a suction-side airfoil shape, the
airfoil having a nominal profile substantially in accordance with
suction-side Cartesian coordinate values of X, Y and Z set forth in
Table 1 wherein the Cartesian coordinate values of X, Y and Z are
non-dimensional values from 0% to 100% convertible to dimensional
distances in inches by multiplying the Cartesian coordinate values
of X, Y and Z by a height of the airfoil in inches, and wherein X
and Y are distances in inches which, when connected by smooth
continuing arcs, define airfoil profile sections at each Z
distance, the airfoil profile sections at the Z distances being
joined smoothly with one another to form a complete suction-side
airfoil shape.
10. The turbine according to claim 9, wherein the plurality of
buckets comprise a stage of the turbine.
11. The turbine according to claim 9, wherein X represents a
distance parallel to the turbine axis of rotation.
12. The turbine according to claim 9, wherein the suction-side
airfoil shape lies in an envelope within at least one of, +/-5% and
+/-5% of a chord length in a direction normal to any airfoil
surface location.
13. The turbine according to claim 9, wherein a height of the
bucket is about 9 inches to about 32 inches.
14. The turbine according to claim 9, wherein each of the buckets
includes an airfoil having a pressure-side airfoil shape, the
airfoil having a nominal profile substantially in accordance with
pressure-side Cartesian coordinate values of X, Y and Z set forth
in Table 1 wherein the Cartesian coordinate values of X, Y and Z
are non-dimensional values from 0% to 100% convertible to
dimensional distances in inches by multiplying the Cartesian
coordinate values of X, Y and Z by a height of the airfoil, and
wherein X and Y are distances which, when connected by smooth
continuing arcs, define airfoil profile sections at each Z
distance, the airfoil profile sections at Z distances being joined
smoothly with one another to form a complete airfoil shape.
15. The turbine according to claim 14, wherein the plurality of
buckets comprise a stage of the turbine.
16. The turbine according to claim 14, wherein X represents a
distance parallel to the turbine axis of rotation.
17. The turbine according to claim 14, wherein the pressure-side
airfoil shape lies in an envelope within at least one of, +/-5% and
+/-5% of a chord length in a direction normal to any airfoil
surface location.
18. A turbine according to claim 14, wherein a height of the bucket
is about 9 inches to about 32 inches.
Description
RELATED APPLICATIONS
[0001] The present application is related to the following
co-pending applications having GE docket numbers 254996, 254998,
254999 and 255005, all filed concurrently herewith.
BACKGROUND OF THE INVENTION
[0002] The present application and the resultant patent relate
generally to a turbine bucket for a gas turbine engine and more
particularly relate to a bucket airfoil profile for a turbine
stage.
[0003] In a gas turbine, many system requirements should be met at
each stage of the gas turbine so as to meet design goals. These
design goals may include, but are not limited to, overall improved
efficiency and airfoil loading capability. For example, a turbine
bucket airfoil profile should achieve thermal and mechanical
operating requirements for that particular stage. Moreover,
component lifetime and cost targets also should be met.
[0004] There is thus a desire therefore for an improved turbine
bucket airfoil profile for use in a turbine and the like. Such an
improved airfoil design should achieve performance objectives and
improve overall gas turbine performance in a component with a long
lifetime and reasonable manufacture and operating costs.
BRIEF DESCRIPTION OF THE INVENTION
[0005] An aspect of the present invention may be embodied by a
turbine bucket including a bucket airfoil having an airfoil shape,
the bucket airfoil having a nominal profile substantially in
accordance with Cartesian coordinate values of X, Y and Z set forth
in Table 1 wherein the Cartesian coordinate values of X, Y and Z
are non-dimensional values from 0% to 100% convertible to
dimensional distances by multiplying the Cartesian coordinate
values of X, Y and Z by a height of the airfoil, and wherein X and
Y are distances which, when connected by smooth continuing arcs,
define airfoil profile sections at each distance Z, the airfoil
profile sections at Z distances being joined smoothly with one
another to form a complete airfoil shape.
[0006] An aspect of the present invention may be embodied in a
turbine bucket including a bucket airfoil having a suction-side
uncoated nominal airfoil profile substantially in accordance with
suction-side Cartesian coordinate values of X, Y and Z set forth in
Table 1 wherein the Cartesian coordinate values of X, Y and Z are
non-dimensional values from 0% to 100% convertible to dimensional
distances by multiplying the Cartesian coordinate values of X, Y
and Z by a height of the airfoil, and wherein X and Y are distances
which, when connected by smooth continuing arcs, define airfoil
profile sections at each Z distance, the airfoil profile sections
at the Z distances being joined smoothly with one another to form a
complete suction-side airfoil shape, the X, Y and Z distances being
scalable as a function of the same constant or number to provide a
scaled-up or scaled-down airfoil.
[0007] An aspect of the present invention may be embodied in a
turbine comprising a turbine wheel having a plurality of buckets,
each of the buckets including an airfoil having a suction-side
airfoil shape, the airfoil having a nominal profile substantially
in accordance with suction-side Cartesian coordinate values of X, Y
and Z set forth in Table 1 wherein the Cartesian coordinate values
of X, Y and Z are non-dimensional values from 0% to 100%
convertible to dimensional distances by multiplying the Cartesian
coordinate values of X, Y and Z by a height of the airfoil, and
wherein X and Y are distances which, when connected by smooth
continuing arcs, define airfoil profile sections at each Z
distance, the airfoil profile sections at the Z distances being
joined smoothly with one another to form a complete suction-side
airfoil shape.
[0008] These and other features and improvements of the present
application and the resultant patent should become apparent to one
of ordinary skill in the art upon review of the following detailed
description when taken in conjunction with the several drawings and
the appended claims.
BRIEF DESCRIPTION OF THE DRAWINGS
[0009] FIG. 1 is a schematic diagram of a gas turbine engine,
according to an aspect of the present invention;
[0010] FIG. 2 is a schematic diagram of a portion of a turbine
having a bucket arrangement as may be described herein, according
to an aspect of the present invention;
[0011] FIG. 3 is a perspective view of a portion of a turbine
bucket showing an airfoil as may be described herein, according to
an aspect of the present invention; and
[0012] FIG. 4 is a cross-sectional view of the airfoil of FIG. 3,
according to an aspect of the present invention.
DETAILED DESCRIPTION OF THE INVENTION
[0013] Referring now to the drawings, in which like numerals refer
to like elements throughout the several views, FIG. 1 shows a
schematic view of gas turbine engine 10 as may be used herein. The
gas turbine engine 10 may include a compressor 15. The compressor
15 compresses an incoming flow of air 20. The compressor 15
delivers the compressed flow of air 20 to a combustor 25. The
combustor 25 mixes the compressed flow of air 20 with a pressurized
flow of fuel 30 and ignites the mixture to create a flow of
combustion gases 35. Although only a single combustor 25 is shown,
the gas turbine engine 10 may include any number of combustors 25.
The flow of combustion gases 35 is in turn delivered to a turbine
40. The flow of combustion gases 35 drives the turbine 40 so as to
produce mechanical work. The mechanical work produced in the
turbine 40 drives the compressor 15 via a shaft 45 and an external
load 50 such as an electrical generator and the like.
[0014] The gas turbine engine 10 may use natural gas, various types
of syngas, and/or other types of fuels. The gas turbine engine 10
may be any one of a number of different gas turbine engines offered
by General Electric Company of Schenectady, N.Y., including, but
not limited to, those such as a 7 or a 9 series heavy duty gas
turbine engine and the like. The gas turbine engine 10 may have
different configurations and may use other types of components. It
is to be understood that other types of gas turbine engines also
may be used herein. Multiple gas turbine engines, other types of
turbines, and other types of power generation equipment also may be
used herein together.
[0015] FIG. 2 shows a schematic diagram of a turbine 100 as may be
described herein. The turbine 100 may include a first stage 110, a
second stage 120, a third stage 130, a fourth stage 140, a fifth
stage 142, a sixth stage 144, and the like. Any number of stages
may be used herein. For example, the first stage 110 may include a
number of circumferentially spaced nozzles 150 and buckets 160. The
first stage buckets 160 are mounted on a turbine rotor 170. The
nozzles 150 are circumferentially spaced one from the other and
fixed about an axis of the rotor. The second stage of the turbine
100 includes a number of circumferentially spaced nozzles 180 and a
number of circumferentially spaced buckets 190 mounted on the rotor
170. The third stage also includes a number of circumferentially
spaced nozzles 200 and buckets 210 mounted on the rotor 170. The
fourth stage 140 includes a number of circumferentially spaced
nozzles 220 and buckets 230 mounted on the rotor 170. The fifth
stage 142 includes a number of circumferentially spaced nozzles 232
and buckets 234 mounted on the rotor 170. The sixth stage 144
includes a number of circumferentially spaced nozzles 236 and
buckets 238 mounted on the rotor 170. Again, any number of stages
may be used herein. It will be appreciated that the nozzles and
buckets lie in a hot gas path 240 of the turbine. Other components
and other configurations may be used herein.
[0016] Referring to FIGS. 3 and 4, it will be appreciated that each
bucket 350 has a bucket airfoil 250 as illustrated. The airfoil 250
may have a pressure side 270 and a suction side 260. The suction
side 260 is shown in FIG. 3 and the pressure side 270 is located on
the opposing side of the airfoil 250. Thus, each of the buckets 350
has a bucket airfoil profile at any cross-section in the shape of
the airfoil 250. A tip 280 is at or near the top of the airfoil 250
and a base 290 is at or near the bottom of the airfoil 250. The
airfoil 250 also includes a leading edge 300 and a trailing edge
310, and a chord length 320 extends therebetween. The base 290
corresponds to the non-dimensional Z value of Table 1 at Z equals
0. The tip 280 of the bucket airfoil 250 corresponds to the
non-dimensional Z value of Table 1 at Z equals 100. The X, Y, and Z
values are given in percentage values of the airfoil length. As one
example only, the height of the bucket airfoil 250 may be from
about 9 inches to about 32 inches, about 9 inches to about 28
inches, or about 16 inches to about 21 inches. However, it is to be
understood that heights below or above this range may also be
employed as desired in the specific application. The airfoil 250
may be used for any stage, including but not limited to a first
stage, a second stage, a third stage, a fourth stage, a fifth
stage, and the like.
[0017] The gas turbine hot gas path 240 requires airfoils 250 that
meet system requirements of aerodynamic and mechanical blade
loading and efficiency. The envelope/tolerance for the coordinates
is about +/-5% in a direction normal to any airfoil surface
location, and/or about +/-5% of the chord length 320 in a direction
normal to any airfoil surface location. These unique loci of points
meet the requirements for stage efficiency and are arrived at by
iteration between aerodynamic and mechanical loadings enabling the
turbine to run in an efficient, safe and smooth manner. These
points are unique and specific to the system. The locus that
defines the bucket airfoil profile includes a set of about 2,200
points with X, Y and Z dimensions relative to a reference origin
coordinate system. The Cartesian coordinate system of X, Y and Z
values given in Table 1 below defines the profile of the bucket
airfoil at various locations along its length. Table 1 lists data
for a non-coated airfoil. The envelope/tolerance for the
coordinates is about +/-5% in a direction normal to any airfoil
surface location. The point data origin is the leading edge of the
base 260. The coordinate values for the X, Y and Z coordinates are
set forth in non-dimensionalized units by the blade height in Table
1 although other units of dimensions may be used when the values
are appropriately converted. The X, Y, and Z values set forth in
Table 1 are also expressed in non-dimensional form (X, Y, and Z)
from 0% to 100% of the blade or airfoil height. As one example
only, the Cartesian coordinate values of X, Y and Z may be
convertible to dimensional distances by multiplying the X, Y and Z
values by a height of the airfoil at the trailing edge and
multiplying by a constant number (e.g., 100). To convert the Z
value to a Z coordinate value, e.g., in inches, the non-dimensional
Z value given in Table 1 is multiplied by the Z length of the
airfoil in inches. As described above, the Cartesian coordinate
system has orthogonally-related X, Y and Z axes and the X axis lies
generally parallel to the turbine rotor centerline, i.e., the
rotary axis and a positive X coordinate value is axial toward the
aft, i.e., exhaust end of the turbine. The positive Y coordinate
value extends tangentially in the direction of rotation of the
rotor and the positive Z coordinate value is radially outwardly
toward the bucket tip. All the values in Table 1 are given at room
temperature and are unfilleted.
[0018] By defining X and Y coordinate values at selected locations
in a Z direction normal to the X, Y plane, the profile section or
airfoil shape of the bucket airfoil, at each Z distance along the
length of the airfoil can be ascertained. By connecting the X and Y
values with smooth continuing arcs, each profile section at each
distance Z is fixed. The airfoil profiles of the various surface
locations between the distances Z are determined by smoothly
connecting the adjacent profile sections to one another to form the
airfoil profile.
[0019] The Table 1 values are generated and shown to three decimal
places for determining the profile of the airfoil. As the blade
heats up in surface, stress and temperature will cause a change in
the X, Y and Z values. Accordingly, the values for the profile
given in Table I represent ambient, non-operating or non-hot
conditions (e.g., room temperature) and are for an uncoated
airfoil.
[0020] There are typical manufacturing tolerances as well as
coatings which must be accounted for in the actual profile of the
airfoil. Each section is joined smoothly with the other sections to
form the complete airfoil shape. It will therefore be appreciated
that +/-typical manufacturing tolerances, i.e., +/-values,
including any coating thicknesses, are additive to the X and Y
values given in Table 1 below. Accordingly, a distance of about
+/-5% in a direction normal to any surface location along the
airfoil profile defines an airfoil profile envelope for this
particular bucket airfoil design and turbine, i.e., a range of
variation between measured points on the actual airfoil surface at
nominal cold or room temperature and the ideal position of those
points as given in the Table below at the same temperature. The
data is scalable and the geometry pertains to all aerodynamic
scales, at, above and/or below 3000 RPM. The bucket airfoil design
is robust to this range of variation without impairment of
mechanical and aerodynamic functions.
TABLE-US-00001 TABLE 1 N Location X Y Z 1 Suction-Side 0.000 0.000
0 2 Suction-Side -0.162 0.379 0 3 Suction-Side -0.096 0.796 0 4
Suction-Side 0.065 1.188 0 5 Suction-Side 0.274 1.557 0 6
Suction-Side 0.511 1.907 0 7 Suction-Side 0.768 2.245 0 8
Suction-Side 1.040 2.569 0 9 Suction-Side 1.325 2.884 0 10
Suction-Side 1.618 3.189 0 11 Suction-Side 1.921 3.486 0 12
Suction-Side 2.231 3.774 0 13 Suction-Side 2.549 4.055 0 14
Suction-Side 2.873 4.328 0 15 Suction-Side 3.203 4.594 0 16
Suction-Side 3.538 4.853 0 17 Suction-Side 3.880 5.105 0 18
Suction-Side 4.226 5.349 0 19 Suction-Side 4.577 5.587 0 20
Suction-Side 4.933 5.817 0 21 Suction-Side 5.294 6.039 0 22
Suction-Side 5.659 6.254 0 23 Suction-Side 6.029 6.461 0 24
Suction-Side 6.404 6.659 0 25 Suction-Side 6.782 6.849 0 26
Suction-Side 7.165 7.030 0 27 Suction-Side 7.553 7.203 0 28
Suction-Side 7.944 7.366 0 29 Suction-Side 8.339 7.520 0 30
Suction-Side 8.738 7.663 0 31 Suction-Side 9.140 7.796 0 32
Suction-Side 9.546 7.918 0 33 Suction-Side 9.955 8.029 0 34
Suction-Side 10.367 8.127 0 35 Suction-Side 10.782 8.214 0 36
Suction-Side 11.199 8.288 0 37 Suction-Side 11.619 8.349 0 38
Suction-Side 12.040 8.397 0 39 Suction-Side 12.462 8.431 0 40
Suction-Side 12.885 8.451 0 41 Suction-Side 13.310 8.457 0 42
Suction-Side 13.733 8.448 0 43 Suction-Side 14.156 8.424 0 44
Suction-Side 14.578 8.386 0 45 Suction-Side 14.999 8.333 0 46
Suction-Side 15.417 8.266 0 47 Suction-Side 15.833 8.184 0 48
Suction-Side 16.246 8.088 0 49 Suction-Side 16.655 7.978 0 50
Suction-Side 17.060 7.854 0 51 Suction-Side 17.462 7.717 0 52
Suction-Side 17.858 7.567 0 53 Suction-Side 18.249 7.404 0 54
Suction-Side 18.635 7.230 0 55 Suction-Side 19.016 7.043 0 56
Suction-Side 19.391 6.846 0 57 Suction-Side 19.760 6.638 0 58
Suction-Side 20.124 6.421 0 59 Suction-Side 20.482 6.193 0 60
Suction-Side 20.834 5.957 0 61 Suction-Side 21.180 5.712 0 62
Suction-Side 21.520 5.459 0 63 Suction-Side 21.853 5.198 0 64
Suction-Side 22.182 4.930 0 65 Suction-Side 22.504 4.655 0 66
Suction-Side 22.822 4.374 0 67 Suction-Side 23.133 4.087 0 68
Suction-Side 23.439 3.793 0 69 Suction-Side 23.740 3.494 0 70
Suction-Side 24.035 3.190 0 71 Suction-Side 24.325 2.882 0 72
Suction-Side 24.611 2.568 0 73 Suction-Side 24.891 2.251 0 74
Suction-Side 25.167 1.929 0 75 Suction-Side 25.438 1.603 0 76
Suction-Side 25.705 1.274 0 77 Suction-Side 25.968 0.941 0 78
Suction-Side 26.226 0.606 0 79 Suction-Side 26.481 0.267 0 80
Suction-Side 26.731 -0.076 0 81 Suction-Side 26.978 -0.420 0 82
Suction-Side 27.221 -0.767 0 83 Suction-Side 27.461 -1.116 0 84
Suction-Side 27.698 -1.468 0 85 Suction-Side 27.931 -1.822 0 86
Suction-Side 28.161 -2.178 0 87 Suction-Side 28.389 -2.535 0 88
Suction-Side 28.613 -2.895 0 89 Suction-Side 28.835 -3.256 0 90
Suction-Side 29.054 -3.619 0 91 Suction-Side 29.271 -3.983 0 92
Suction-Side 29.486 -4.348 0 93 Suction-Side 29.699 -4.714 0 94
Suction-Side 29.909 -5.083 0 95 Suction-Side 30.117 -5.452 0 96
Suction-Side 30.322 -5.822 0 97 Suction-Side 30.526 -6.194 0 98
Suction-Side 30.728 -6.567 0 99 Suction-Side 30.928 -6.941 0 100
Suction-Side 31.061 -7.336 0 101 Pressure-Side 30.857 -7.691 0 102
Pressure-Side 30.531 -7.764 0 103 Pressure-Side 30.243 -7.594 0 104
Pressure-Side 30.027 -7.330 0 105 Pressure-Side 29.808 -7.066 0 106
Pressure-Side 29.588 -6.805 0 107 Pressure-Side 29.366 -6.545 0 108
Pressure-Side 29.142 -6.287 0 109 Pressure-Side 28.915 -6.031 0 110
Pressure-Side 28.685 -5.777 0 111 Pressure-Side 28.454 -5.526 0 112
Pressure-Side 28.219 -5.277 0 113 Pressure-Side 27.982 -5.031 0 114
Pressure-Side 27.742 -4.787 0 115 Pressure-Side 27.500 -4.546 0 116
Pressure-Side 27.254 -4.308 0 117 Pressure-Side 27.006 -4.073 0 118
Pressure-Side 26.754 -3.841 0 119 Pressure-Side 26.500 -3.613 0 120
Pressure-Side 26.242 -3.388 0 121 Pressure-Side 25.981 -3.167 0 122
Pressure-Side 25.717 -2.950 0 123 Pressure-Side 25.450 -2.737 0 124
Pressure-Side 25.179 -2.528 0 125 Pressure-Side 24.905 -2.323 0 126
Pressure-Side 24.629 -2.122 0 127 Pressure-Side 24.348 -1.926 0 128
Pressure-Side 24.065 -1.735 0 129 Pressure-Side 23.778 -1.548 0 130
Pressure-Side 23.489 -1.366 0 131 Pressure-Side 23.196 -1.189 0 132
Pressure-Side 22.900 -1.018 0 133 Pressure-Side 22.602 -0.852 0 134
Pressure-Side 22.300 -0.691 0 135 Pressure-Side 21.995 -0.536 0 136
Pressure-Side 21.688 -0.386 0 137 Pressure-Side 21.378 -0.242 0 138
Pressure-Side 21.065 -0.103 0 139 Pressure-Side 20.750 0.029 0 140
Pressure-Side 20.433 0.156 0 141 Pressure-Side 20.113 0.277 0 142
Pressure-Side 19.791 0.392 0 143 Pressure-Side 19.467 0.501 0 144
Pressure-Side 19.141 0.605 0 145 Pressure-Side 18.813 0.702 0 146
Pressure-Side 18.483 0.794 0 147 Pressure-Side 18.152 0.880 0 148
Pressure-Side 17.820 0.959 0 149 Pressure-Side 17.486 1.034 0 150
Pressure-Side 17.151 1.102 0 151 Pressure-Side 16.815 1.165 0 152
Pressure-Side 16.478 1.222 0 153 Pressure-Side 16.140 1.273 0 154
Pressure-Side 15.801 1.320 0 155 Pressure-Side 15.462 1.361 0 156
Pressure-Side 15.122 1.396 0 157 Pressure-Side 14.781 1.426 0 158
Pressure-Side 14.440 1.451 0 159 Pressure-Side 14.099 1.471 0 160
Pressure-Side 13.757 1.486 0 161 Pressure-Side 13.415 1.497 0 162
Pressure-Side 13.073 1.502 0 163 Pressure-Side 12.732 1.503 0 164
Pressure-Side 12.389 1.499 0 165 Pressure-Side 12.048 1.491 0 166
Pressure-Side 11.706 1.478 0 167 Pressure-Side 11.364 1.460 0 168
Pressure-Side 11.023 1.439 0 169 Pressure-Side 10.682 1.413 0 170
Pressure-Side 10.342 1.384 0 171 Pressure-Side 10.002 1.350 0 172
Pressure-Side 9.662 1.312 0 173 Pressure-Side 9.322 1.271 0 174
Pressure-Side 8.983 1.226 0 175 Pressure-Side 8.645 1.177 0 176
Pressure-Side 8.307 1.124 0 177 Pressure-Side 7.969 1.069 0 178
Pressure-Side 7.632 1.010 0 179 Pressure-Side 7.297 0.948 0 180
Pressure-Side 6.961 0.882 0 181 Pressure-Side 6.625 0.814 0 182
Pressure-Side 6.291 0.743 0 183 Pressure-Side 5.957 0.671 0 184
Pressure-Side 5.623 0.594 0 185 Pressure-Side 5.291 0.517 0 186
Pressure-Side 4.958 0.437 0 187 Pressure-Side 4.626 0.355 0 188
Pressure-Side 4.294 0.274 0 189 Pressure-Side 3.963 0.191 0 190
Pressure-Side 3.630 0.107 0 191 Pressure-Side 3.299 0.026 0 192
Pressure-Side 2.966 -0.054 0 193 Pressure-Side 2.633 -0.130 0 194
Pressure-Side 2.298 -0.202 0 195 Pressure-Side 1.962 -0.264 0 196
Pressure-Side 1.624 -0.315 0 197 Pressure-Side 1.284 -0.346 0 198
Pressure-Side 0.942 -0.348 0 199 Pressure-Side 0.603 -0.304 0 200
Pressure-Side 0.280 -0.193 0 1 Suction-Side 1.071 0.945 10 2
Suction-Side 0.937 1.319 10 3 Suction-Side 1.007 1.723 10 4
Suction-Side 1.168 2.101 10 5 Suction-Side 1.372 2.458 10 6
Suction-Side 1.605 2.797 10 7 Suction-Side 1.857 3.122 10 8
Suction-Side 2.124 3.435 10 9 Suction-Side 2.403 3.737 10 10
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Suction-Side 2.045 2.337 20 3 Suction-Side 2.119 2.726 20 4
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Suction-Side 8.475 7.849 20 25 Suction-Side 8.848 7.987 20 26
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Suction-Side 30.043 -6.521 20
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Pressure-Side 24.957 -2.605 20 127 Pressure-Side 24.713 -2.391 20
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30 3 Suction-Side 3.318 3.825 30 4 Suction-Side 3.464 4.176 30 5
Suction-Side 3.655 4.506 30 6 Suction-Side 3.874 4.817 30 7
Suction-Side 4.115 5.112 30 8 Suction-Side 4.371 5.394 30 9
Suction-Side 4.641 5.662 30 10 Suction-Side 4.921 5.919 30 11
Suction-Side 5.212 6.166 30 12 Suction-Side 5.511 6.402 30 13
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Suction-Side 6.450 7.050 30 16 Suction-Side 6.777 7.247 30 17
Suction-Side 7.109 7.433 30 18 Suction-Side 7.446 7.609 30 19
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Suction-Side 8.488 8.077 30 22 Suction-Side 8.844 8.212 30 23
Suction-Side 9.204 8.336 30 24 Suction-Side 9.567 8.450 30 25
Suction-Side 9.935 8.551 30 26 Suction-Side 10.304 8.641 30 27
Suction-Side 10.677 8.719 30 28 Suction-Side 11.052 8.785 30 29
Suction-Side 11.429 8.838 30 30 Suction-Side 11.808 8.879 30 31
Suction-Side 12.188 8.906 30 32 Suction-Side 12.568 8.921 30 33
Suction-Side 12.949 8.922 30 34 Suction-Side 13.329 8.910 30 35
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Suction-Side 15.213 8.650 30 40 Suction-Side 15.582 8.558 30 41
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Suction-Side 16.670 8.210 30 44 Suction-Side 17.025 8.071 30 45
Suction-Side 17.374 7.920 30 46 Suction-Side 17.719 7.759 30 47
Suction-Side 18.059 7.588 30 48 Suction-Side 18.394 7.407 30 49
Suction-Side 18.724 7.217 30 50 Suction-Side 19.049 7.018 30 51
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Suction-Side 23.327 3.263 30 66 Suction-Side 23.577 2.976 30 67
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30 105 Pressure-Side 29.293 -7.654 30 106 Pressure-Side 29.101
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Pressure-Side 28.321 -6.413 30 111 Pressure-Side 28.123 -6.168 30
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Pressure-Side 26.483 -4.253 30 120 Pressure-Side 26.271 -4.019 30
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24.958 -2.660 30 127 Pressure-Side 24.731 -2.440 30 128
Pressure-Side 24.504 -2.222 30 129 Pressure-Side 24.273 -2.007 30
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30 132 Pressure-Side 23.570 -1.375 30 133 Pressure-Side 23.331
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Pressure-Side 22.353 -0.374 30 138 Pressure-Side 22.103 -0.183 30
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143 Pressure-Side 20.814 0.725 30 144 Pressure-Side 20.549 0.896 30
145 Pressure-Side 20.282 1.062 30 146 Pressure-Side 20.012 1.225 30
147 Pressure-Side 19.740 1.384 30
148 Pressure-Side 19.465 1.538 30 149 Pressure-Side 19.188 1.688 30
150 Pressure-Side 18.908 1.834 30 151 Pressure-Side 18.626 1.975 30
152 Pressure-Side 18.342 2.111 30 153 Pressure-Side 18.055 2.242 30
154 Pressure-Side 17.766 2.368 30 155 Pressure-Side 17.475 2.489 30
156 Pressure-Side 17.183 2.605 30 157 Pressure-Side 16.887 2.715 30
158 Pressure-Side 16.590 2.820 30 159 Pressure-Side 16.291 2.919 30
160 Pressure-Side 15.990 3.012 30 161 Pressure-Side 15.687 3.099 30
162 Pressure-Side 15.382 3.180 30 163 Pressure-Side 15.076 3.255 30
164 Pressure-Side 14.768 3.324 30 165 Pressure-Side 14.460 3.387 30
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176 Pressure-Side 11.010 3.649 30 177 Pressure-Side 10.694 3.635 30
178 Pressure-Side 10.380 3.615 30 179 Pressure-Side 10.066 3.589 30
180 Pressure-Side 9.753 3.558 30 181 Pressure-Side 9.439 3.522 30
182 Pressure-Side 9.127 3.480 30 183 Pressure-Side 8.815 3.435 30
184 Pressure-Side 8.504 3.384 30 185 Pressure-Side 8.193 3.329 30
186 Pressure-Side 7.884 3.271 30 187 Pressure-Side 7.574 3.210 30
188 Pressure-Side 7.266 3.147 30 189 Pressure-Side 6.958 3.081 30
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192 Pressure-Side 6.033 2.882 30 193 Pressure-Side 5.724 2.819 30
194 Pressure-Side 5.414 2.761 30 195 Pressure-Side 5.103 2.711 30
196 Pressure-Side 4.790 2.673 30 197 Pressure-Side 4.476 2.654 30
198 Pressure-Side 4.161 2.667 30 199 Pressure-Side 3.852 2.729 30
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Suction-Side 4.505 4.639 40 3 Suction-Side 4.556 4.996 40 4
Suction-Side 4.687 5.333 40 5 Suction-Side 4.866 5.648 40 6
Suction-Side 5.076 5.942 40 7 Suction-Side 5.309 6.220 40 8
Suction-Side 5.560 6.481 40 9 Suction-Side 5.824 6.729 40 10
Suction-Side 6.100 6.963 40 11 Suction-Side 6.386 7.185 40 12
Suction-Side 6.681 7.395 40 13 Suction-Side 6.984 7.593 40 14
Suction-Side 7.294 7.780 40 15 Suction-Side 7.611 7.955 40 16
Suction-Side 7.934 8.120 40 17 Suction-Side 8.261 8.273 40 18
Suction-Side 8.595 8.415 40 19 Suction-Side 8.932 8.546 40 20
Suction-Side 9.274 8.665 40 21 Suction-Side 9.620 8.773 40 22
Suction-Side 9.969 8.869 40 23 Suction-Side 10.321 8.954 40 24
Suction-Side 10.676 9.027 40 25 Suction-Side 11.033 9.087 40 26
Suction-Side 11.392 9.136 40 27 Suction-Side 11.752 9.172 40 28
Suction-Side 12.113 9.195 40 29 Suction-Side 12.475 9.207 40 30
Suction-Side 12.837 9.205 40 31 Suction-Side 13.199 9.192 40 32
Suction-Side 13.560 9.165 40 33 Suction-Side 13.920 9.126 40 34
Suction-Side 14.279 9.075 40 35 Suction-Side 14.635 9.011 40 36
Suction-Side 14.989 8.935 40 37 Suction-Side 15.340 8.848 40 38
Suction-Side 15.688 8.748 40 39 Suction-Side 16.033 8.638 40 40
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Suction-Side 19.535 6.771 40 51 Suction-Side 19.824 6.554 40 52
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Suction-Side 22.218 4.348 40 61 Suction-Side 22.463 4.081 40 62
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Suction-Side 23.175 3.261 40 65 Suction-Side 23.405 2.982 40 66
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Pressure-Side 28.161 -6.529 40 110 Pressure-Side 27.974 -6.289 40
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40 113 Pressure-Side 27.409 -5.573 40 114 Pressure-Side 27.218
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Pressure-Side 26.443 -4.399 40 119 Pressure-Side 26.247 -4.168 40
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40 122 Pressure-Side 25.648 -3.479 40 123 Pressure-Side 25.446
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Pressure-Side 24.625 -2.355 40 128 Pressure-Side 24.416 -2.135 40
129 Pressure-Side 24.206 -1.915 40 130 Pressure-Side 23.994 -1.697
40 131 Pressure-Side 23.780 -1.480 40 132 Pressure-Side 23.565
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Pressure-Side 22.688 -0.424 40 137 Pressure-Side 22.465 -0.218 40
138 Pressure-Side 22.239 -0.014 40 139 Pressure-Side 22.012 0.188
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40 146 Pressure-Side 20.362 1.531 40 147 Pressure-Side 20.118 1.711
40 148 Pressure-Side 19.871 1.889 40 149 Pressure-Side 19.621 2.063
40 150 Pressure-Side 19.369 2.233 40 151 Pressure-Side 19.115 2.399
40 152 Pressure-Side 18.858 2.562 40 153 Pressure-Side 18.599 2.720
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40 192 Pressure-Side 7.185 4.182 40 193 Pressure-Side 6.887 4.118
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40 196 Pressure-Side 5.990 3.956 40 197 Pressure-Side 5.688 3.926
40 198 Pressure-Side 5.384 3.920 40
199 Pressure-Side 5.083 3.959 40 200 Pressure-Side 4.803 4.074 40 1
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Suction-Side 5.717 6.175 50 4 Suction-Side 5.843 6.494 50 5
Suction-Side 6.018 6.790 50 6 Suction-Side 6.225 7.063 50 7
Suction-Side 6.456 7.318 50 8 Suction-Side 6.706 7.555 50 9
Suction-Side 6.969 7.775 50 10 Suction-Side 7.245 7.981 50 11
Suction-Side 7.531 8.172 50 12 Suction-Side 7.824 8.350 50 13
Suction-Side 8.126 8.515 50 14 Suction-Side 8.434 8.667 50 15
Suction-Side 8.749 8.807 50 16 Suction-Side 9.068 8.935 50 17
Suction-Side 9.392 9.050 50 18 Suction-Side 9.720 9.152 50 19
Suction-Side 10.052 9.243 50 20 Suction-Side 10.386 9.322 50 21
Suction-Side 10.724 9.389 50 22 Suction-Side 11.063 9.443 50 23
Suction-Side 11.404 9.485 50 24 Suction-Side 11.747 9.515 50 25
Suction-Side 12.090 9.532 50 26 Suction-Side 12.434 9.538 50 27
Suction-Side 12.777 9.531 50 28 Suction-Side 13.121 9.513 50 29
Suction-Side 13.463 9.482 50 30 Suction-Side 13.804 9.440 50 31
Suction-Side 14.144 9.386 50 32 Suction-Side 14.481 9.321 50 33
Suction-Side 14.817 9.244 50 34 Suction-Side 15.149 9.156 50 35
Suction-Side 15.479 9.058 50 36 Suction-Side 15.804 8.949 50 37
Suction-Side 16.127 8.830 50 38 Suction-Side 16.446 8.701 50 39
Suction-Side 16.760 8.562 50 40 Suction-Side 17.071 8.415 50 41
Suction-Side 17.377 8.258 50 42 Suction-Side 17.679 8.093 50 43
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Suction-Side 19.118 7.154 50 48 Suction-Side 19.391 6.947 50 49
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Suction-Side 21.183 5.343 50 56 Suction-Side 21.422 5.096 50 57
Suction-Side 21.658 4.845 50 58 Suction-Side 21.890 4.592 50 59
Suction-Side 22.117 4.334 50 60 Suction-Side 22.342 4.074 50 61
Suction-Side 22.563 3.810 50 62 Suction-Side 22.781 3.544 50 63
Suction-Side 22.996 3.275 50 64 Suction-Side 23.207 3.005 50 65
Suction-Side 23.416 2.732 50 66 Suction-Side 23.622 2.456 50 67
Suction-Side 23.825 2.179 50 68 Suction-Side 24.025 1.900 50 69
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Suction-Side 7.030 7.905 60 6 Suction-Side 7.247 8.149 60 7
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Suction-Side 19.963 6.483 60
50 Suction-Side 20.201 6.259 60 51 Suction-Side 20.435 6.031 60 52
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Suction-Side 23.043 1.064 100 68 Suction-Side 23.191 0.825 100 69
Suction-Side 23.338 0.586 100 70 Suction-Side 23.484 0.346 100 71
Suction-Side 23.630 0.106 100 72 Suction-Side 23.775 -0.134 100 73
Suction-Side 23.919 -0.375 100 74 Suction-Side 24.063 -0.616 100 75
Suction-Side 24.205 -0.857 100 76 Suction-Side 24.347 -1.099 100 77
Suction-Side 24.489 -1.342 100 78 Suction-Side 24.630 -1.585 100 79
Suction-Side 24.770 -1.828 100 80 Suction-Side 24.910 -2.071 100 81
Suction-Side 25.049 -2.315 100 82 Suction-Side 25.187 -2.559 100 83
Suction-Side 25.324 -2.804 100 84 Suction-Side 25.462 -3.049 100 85
Suction-Side 25.598 -3.295 100 86 Suction-Side 25.734 -3.540 100 87
Suction-Side 25.868 -3.786 100 88 Suction-Side 26.003 -4.033 100 89
Suction-Side 26.136 -4.280 100 90 Suction-Side 26.269 -4.527 100 91
Suction-Side 26.402 -4.774 100 92 Suction-Side 26.533 -5.022 100 93
Suction-Side 26.665 -5.270 100 94 Suction-Side 26.795 -5.519 100 95
Suction-Side 26.926 -5.767 100 96 Suction-Side 27.055 -6.016 100 97
Suction-Side 27.185 -6.265 100 98 Suction-Side 27.314 -6.515 100 99
Suction-Side 27.442 -6.764 100 100 Suction-Side 27.464 -7.038 100
101 Pressure-Side 27.297 -7.256 100 102 Pressure-Side 27.045 -7.305
100 103 Pressure-Side 26.822 -7.179 100 104 Pressure-Side 26.674
-6.963 100 105 Pressure-Side 26.529 -6.746 100 106 Pressure-Side
26.382 -6.529 100 107 Pressure-Side 26.236 -6.312 100 108
Pressure-Side 26.090 -6.095 100 109 Pressure-Side 25.942 -5.879 100
110 Pressure-Side 25.795 -5.663 100 111 Pressure-Side 25.647 -5.447
100 112 Pressure-Side 25.498 -5.231 100 113 Pressure-Side 25.349
-5.016 100 114 Pressure-Side 25.199 -4.802 100 115 Pressure-Side
25.049 -4.587 100 116 Pressure-Side 24.899 -4.373 100 117
Pressure-Side 24.748 -4.159 100 118 Pressure-Side 24.597 -3.946 100
119 Pressure-Side 24.445 -3.733 100 120 Pressure-Side 24.293 -3.520
100 121 Pressure-Side 24.141 -3.307 100 122 Pressure-Side 23.989
-3.094 100 123 Pressure-Side 23.836 -2.881 100 124 Pressure-Side
23.683 -2.669 100 125 Pressure-Side 23.530 -2.457 100 126
Pressure-Side 23.377 -2.245 100 127 Pressure-Side 23.223 -2.033 100
128 Pressure-Side 23.070 -1.821 100 129 Pressure-Side 22.916 -1.609
100 130 Pressure-Side 22.762 -1.397 100 131 Pressure-Side 22.608
-1.186 100 132 Pressure-Side 22.454 -0.974 100 133 Pressure-Side
22.299 -0.763 100 134 Pressure-Side 22.145 -0.552 100 135
Pressure-Side 21.990 -0.341 100 136 Pressure-Side 21.835 -0.130 100
137 Pressure-Side 21.680 0.081 100 138 Pressure-Side 21.525 0.292
100 139 Pressure-Side 21.369 0.502 100 140 Pressure-Side 21.213
0.713 100 141 Pressure-Side 21.057 0.922 100 142 Pressure-Side
20.901 1.132 100 143 Pressure-Side 20.744 1.342 100 144
Pressure-Side 20.587 1.551 100 145 Pressure-Side 20.429 1.760 100
146 Pressure-Side 20.271 1.968 100 147 Pressure-Side 20.113 2.177
100 148 Pressure-Side 19.954 2.385 100 149 Pressure-Side 19.794
2.592 100 150 Pressure-Side 19.634 2.799 100 151 Pressure-Side
19.473 3.005 100 152 Pressure-Side 19.312 3.211 100 153
Pressure-Side 19.150 3.417 100 154 Pressure-Side 18.987 3.621 100
155 Pressure-Side 18.823 3.826 100 156 Pressure-Side 18.659 4.029
100 157 Pressure-Side 18.493 4.232 100 158 Pressure-Side 18.327
4.434 100 159 Pressure-Side 18.160 4.635 100 160 Pressure-Side
17.992 4.836 100 161 Pressure-Side 17.822 5.035 100 162
Pressure-Side 17.651 5.233 100 163 Pressure-Side 17.479 5.431 100
164 Pressure-Side 17.306 5.627 100 165 Pressure-Side 17.132 5.822
100 166 Pressure-Side 16.955 6.015 100 167 Pressure-Side 16.777
6.207 100 168 Pressure-Side 16.598 6.398 100 169 Pressure-Side
16.416 6.586 100 170 Pressure-Side 16.233 6.773 100 171
Pressure-Side 16.048 6.958 100 172 Pressure-Side 15.860 7.140 100
173 Pressure-Side 15.670 7.319 100 174 Pressure-Side 15.477 7.497
100 175 Pressure-Side 15.282 7.671 100 176 Pressure-Side 15.084
7.842 100 177 Pressure-Side 14.883 8.009 100 178 Pressure-Side
14.678 8.172 100 179 Pressure-Side 14.470 8.331 100 180
Pressure-Side 14.258 8.484 100 181 Pressure-Side 14.042 8.633 100
182 Pressure-Side 13.823 8.775 100 183 Pressure-Side 13.599 8.911
100 184 Pressure-Side 13.371 9.040 100 185 Pressure-Side 13.140
9.161 100 186 Pressure-Side 12.903 9.275 100 187 Pressure-Side
12.664 9.380 100 188 Pressure-Side 12.421 9.477 100 189
Pressure-Side 12.174 9.565 100 190 Pressure-Side 11.925 9.645 100
191 Pressure-Side 11.674 9.716 100 192 Pressure-Side 11.420 9.781
100 193 Pressure-Side 11.165 9.838 100 194 Pressure-Side 10.908
9.890 100 195 Pressure-Side 10.651 9.941 100 196 Pressure-Side
10.395 9.995 100 197 Pressure-Side 10.142 10.059 100 198
Pressure-Side 9.896 10.146 100 199 Pressure-Side 9.679 10.291 100
200 Pressure-Side 9.558 10.518 100
[0021] It will also be appreciated that the airfoil 250 disclosed
in the above Table 1 may be scaled up or down geometrically for use
in other similar turbine designs. Consequently, the coordinate
values set forth in Table 1 may be scaled upwardly or downwardly
such that the airfoil profile shape remains unchanged. A scaled
version of the coordinates in Table 1 would be represented by X, Y
and Z coordinate values of Table 1, with the X, Y and Z
non-dimensional coordinate values converted to inches, multiplied
or divided by a constant number.
[0022] An important term in this disclosure is profile. The profile
is the range of the variation between measured points on an airfoil
surface and the ideal position listed in Table 1. The actual
profile on a manufactured blade will be different than those in
Table 1 and the design is robust to this variation meaning that
mechanical and aerodynamic function are not impaired. As noted
above, an approximately + or -5% profile tolerance is used herein.
The X, Y and Z values are all non-dimensionalized relative to the
airfoil height.
[0023] The disclosed airfoil shape optimizes and is specific to the
machine conditions and specifications. The airfoil shape provides a
unique profile to achieve (1) interaction between other stages in
the high pressure turbine; (2) aerodynamic efficiency; and (3)
normalized aerodynamic and mechanical blade loadings. The disclosed
loci of points allow the gas turbine or any other suitable turbine
to run in an efficient, safe and smooth manner. As also noted, any
scale of the disclosed airfoil may be adopted as long as (1)
interaction between other stages in the high pressure turbine; (2)
aerodynamic efficiency; and (3) normalized aerodynamic and
mechanical blade loadings are maintained in the scaled turbine.
[0024] The airfoil 250 described herein thus improves overall gas
turbine 100 efficiency. Specifically, the airfoil 250 provides the
desired turbine efficiency lapse rate (ISO, hot, cold, part load,
etc.). The airfoil 250 also meets all aeromechanics and stress
requirements.
[0025] It should be apparent that the foregoing relates only to
certain embodiments of the present application and the resultant
patent. Numerous changes and modifications may be made herein by
one of ordinary skill in the art without departing from the general
spirit and scope of the invention as defined by the following
claims and the equivalents thereof.
* * * * *